Tractability properties of the discrepancy in Orlicz norms
Numerical Analysis
2020-02-10 v2 Numerical Analysis
Number Theory
Abstract
We show that the minimal discrepancy of a point set in the -dimensional unit cube with respect to Orlicz norms can exhibit both polynomial and weak tractability. In particular, we show that the -norms of exponential Orlicz spaces are polynomially tractable.
Cite
@article{arxiv.1910.12571,
title = {Tractability properties of the discrepancy in Orlicz norms},
author = {Josef Dick and Aicke Hinrichs and Friedrich Pillichshammer and Joscha Prochno},
journal= {arXiv preprint arXiv:1910.12571},
year = {2020}
}
Comments
10 pages